#include <bits/stdc++.h>
using namespace std;
using ll = long long;

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    ll r = 1'000'000'000'000ll;
    vector<vector<ll>> tb(41);
    for(ll i = 2; i <= 1'000'000; i++){
        ll d = i * i;
        int cur = 2;
        while(d <= r){
            tb[cur++].emplace_back(d);
            d *= i;
        }
    }
    int Q;
    cin >> Q;
    while(Q--){
        ll n;
        cin >> n;
        int ans = 1;
        for(int i = 40; i >= 2; i--){
            if(binary_search(tb[i].begin(), tb[i].end(), n)){
                ans = i;
                break;
            }
        }
        cout << ans << '\n';
    }
}